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中山美穗（Miho Nakayama，1970年3月1日-2024年12月6日），出生于东京都小金井市。 日本女歌手、演员。 1985年，中山美穗被星探发掘，凭借第一部电影《蓝调学园》和第一部电视剧《惊动您了》进入演艺圈。 [1] he was descended from the sanada clan, who were known as kenjutsu instructors, from the nagano region Nakayama引理中文通常译为中山引理或中山正引理，最早由德国数学家 Wolfgang Krull 发现，日本数学家 Goro Azumaya 推广，最终由日本数学家 Tadashi Nakayama （中山正）表示为现在的形式并以他的名字命名。

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Nakayama pro offers a specialized range of over 1,500 products in garden machinery and tools, designed for professionals and demanding users Nakayama was born on april 13, 1913, [2][5][6] in the yamaguchi prefecture of japan The nakayama are descended from 12th century aristocrat nakayama tadachika, most notably as the mother of the emperor meiji, nakayama yoshiko

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Only a handful of nakayama today have direct ties to this branch and entitled to use the kakitsubata bishi mon.

本篇笔记我们将讲述交换代数中一个至关重要的结论—— Nakayama 引理，又称中山引理；这一结论的证明不算复杂，并且有很多种证明思路，本文将选用 Atiyah 书上的“行列式法”，这也是交换代数中处理有限生成对象的… 中山引理（Nakayama's lemma）是交换代数中的技术工具，其命名来源于数学家中山正。 该引理指出：设R为交换幺环，J为其雅各布森根，M为R上的有限生成模，若满足J·M=M，则M= {0}。 下面来证明一个交换代数中极为重要的引理 (Nakayama 引理), 它在很多地方都可以使用: 命题 0.1.R 是一个环, 它的大根 (Jacobson Radical) 定义为 rad(R), 我们假设 M 是一个 R 模, 并且 I⊂R 是一个理想. 那么: